Diversity, Coincidence & Demand Factors

9 min · difficulty 5/10

Ten homes on one pole-mounted transformer each carry a 6 kVA connected load, so 60 kVA of appliances hangs off that one unit. The transformer is a 25 kVA. Before you read on, decide whether that is undersized.

It is not. Nobody runs every appliance at once, and no two houses peak at the same minute. Two effects stack here. First, each home’s actual maximum demand is far below its 6 kVA of connected nameplate. Second, the ten individual peaks land at different times of day, so the group never sums to the arithmetic total. The transformer is sized to what the whole group draws at its worst shared moment, which is much smaller than 60 kVA.

Three ratios name these effects, and mixing them up is the single biggest source of confusion here, because each one points a different direction relative to 1. Demand factor is actual maximum demand divided by connected load; it is always less than 1, say 0.6 when a 6 kVA home peaks at 3.6 kVA. Diversity factor is the sum of each customer’s individual peak divided by the coincident group peak; it is always greater than 1, commonly near 2.0 on a residential group because the peaks do not line up. Coincidence factor is simply the reciprocal of the diversity factor, so it is always less than 1, here 0.5.

Run the hook through them. Ten homes at 3.6 kVA individual peak sum to 36 kVA. Divide by a diversity factor of 2.0 and the coincident peak is 18 kVA. The transformer is sized to that 18 kVA coincident peak, not the 36 kVA sum and certainly not the 60 kVA connected load, which is why a 25 kVA unit is correct and a 60 kVA one would be wasted iron.

Ten staggered homes, one coincident group peak Ten thin blue individual daily load curves, each peaking at 3.6 kilovolt-amps at a different hour of the day, overlaid in a top panel summing to 36 kilovolt-amps of individual peaks. A bottom panel plots the single gold coincident group curve formed by numerically summing all ten curves at each hour; its peak measures 18 kilovolt-amps, well below the 36 kilovolt-amp sum. A gold pill states diversity factor equals 36 kVA divided by 18 kVA equals 2.0. 10 homes, staggered peaks, one coincident group peak 3.6 kVA each 4.2 0 10 individual homes (3.6 kVA peak each) Sum of peaks = 36 kVA 20 0 Coincident group (feeder-side) curve Coincident peak = 18 kVA Midnight Noon Midnight Diversity factor = sum of peaks ÷ coincident peak 36 kVA ÷ 18 kVA = 2.0
Ten homes peaking at different times never sum to their connected total. The coincident peak the transformer actually sees is half the arithmetic sum.

For a buyer specifying a transformer, a planner sizing a feeder, or an operator reading a loading report, the lesson is the same: connected load is the ceiling nobody hits, and the coincident peak is the number that sizes the equipment. Never size to the sum of nameplate loads; size to the coincident peak the diversity factor gives you. Get the three ratios and their directions straight and you stop buying capacity for a moment that never arrives.

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Question 1 of 3

Three ratios describe how loads add up: demand factor, diversity factor, and coincidence factor. Which one is always greater than 1?

Educational material only. This is not engineering, safety, or procurement advice. Confirm any value against manufacturer documentation and a licensed professional before specifying equipment.